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| Main Author: | |
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| Format: | Preprint |
| Published: |
2023
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| Subjects: | |
| Online Access: | https://arxiv.org/abs/2303.15333 |
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| _version_ | 1866914797300219904 |
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| author | Liu, Daoqiang |
| author_facet | Liu, Daoqiang |
| contents | The main purpose of this short note is to derive some generalizations of the long neck principle and give a spectral width inequality of geodesic collar neighborhoods. Our results are obtained via the spinorial Callias operator approach. An important step is to introduce the relative Gromov-Lawson pair on a compact manifold with boundary, relative to a background manifold. |
| format | Preprint |
| id |
arxiv_https___arxiv_org_abs_2303_15333 |
| institution | arXiv |
| publishDate | 2023 |
| record_format | arxiv |
| spellingShingle | A note on the long neck principle and spectral width inequality of geodesic collar neighborhoods Liu, Daoqiang Differential Geometry Mathematical Physics The main purpose of this short note is to derive some generalizations of the long neck principle and give a spectral width inequality of geodesic collar neighborhoods. Our results are obtained via the spinorial Callias operator approach. An important step is to introduce the relative Gromov-Lawson pair on a compact manifold with boundary, relative to a background manifold. |
| title | A note on the long neck principle and spectral width inequality of geodesic collar neighborhoods |
| topic | Differential Geometry Mathematical Physics |
| url | https://arxiv.org/abs/2303.15333 |